The sandpile group on directed cylinders reduces exactly to a transverse problem, fully determining its cyclic decomposition and linking it to the periodicity of driven dynamics.
1/f Noise and Long Configuration Memory in Bak-Tang-Wiesenfeld Models on Narrow Stripes
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We report our findings of an 1/f power spectrum for the total amount of sand in directed and undirected Bak-Tang-Wiesenfeld models confined on narrow stripes and driven locally. The underlying mechanism for the 1/f noise in these systems is an exponentially long configuration memory giving rise to a very broad distribution of time scales. Both models are solved analytically with the help of an operator algebra to explicitly show the appearance of the long configuration memory.
fields
cond-mat.stat-mech 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
The Directed Abelian Sandpile Model on Cylinders
The sandpile group on directed cylinders reduces exactly to a transverse problem, fully determining its cyclic decomposition and linking it to the periodicity of driven dynamics.